

with \({\cal S}\ne 0\)  a constant real parameter,
which
may be positive or negative. The two choices, \({\cal S}=|{\cal S}|\)  and \({\cal S}= -|{\cal S}|\) , correspond to the so-called \((1,0)\)  and \((0,1)\) 
AdS superspaces [1]}, which are different realisations of \({\cal N}=1\)  AdS superspace. The \((1,0)\)  and \((0,1)\)  AdS superspaces are naturally embedded
in \((1,1)\)  AdS superspace [1]}, [3]} and are related to each other by a parity transformation.The only difference between the \((1,0)\)  and \((0,1)\)  AdS supersymmetry types is the fact that the mass terms in the corresponding Killing spinor equations (REF ) have different signs.
